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Finding the Third Proportional to 49,957 and 77,348

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Solution

The third proportional to 49,957 and 77,348 is: 119,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,957 : 77,348 = 77,348 : x
  2. Step 2: Convert to fraction form
    49,957/77,348 = 77,348/x
  3. Step 3: Cross multiply
    49,957x = 77,348 × 77,348
  4. Step 4: Simplify right side
    49,957x = 5,982,713,104
  5. Step 5: Solve for x
    x = 5,982,713,104/49,957
  6. Step 6: Final answer
    x = 119,757.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.